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Finding the Fourth Proportional to 581,645.40, 802,662.16 and 323,519.64

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Solution

The fourth proportional to 581,645.40, 802,662.16 and 323,519.64 is: 446,452.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,645.40 : 802,662.16 = 323,519.64 : x
  2. Step 2: Convert to fraction form
    581,645.40/802,662.16 = 323,519.64/x
  3. Step 3: Cross multiply
    581,645.40x = 802,662.16 × 323,519.64
  4. Step 4: Simplify right side
    581,645.40x = 259,676,973,044.82
  5. Step 5: Solve for x
    x = 259,676,973,044.82/581,645.40
  6. Step 6: Final answer
    x = 446,452.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.